λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,100
8,100
22 × 34 × 52
Abundant Even Composite Square (√ = 90)

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5^2
Distinct Prime Factors 3
Square Status Yes (√8100 = 90)
Abundance Measure Abundant

Analytical Properties

Total Divisors 45
Divisor Sum (σ) 26,257
Proper Divisor Sum 18,157
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #8093 ← → #8101

Radix Representation

Decimal 8100
Binary 1111110100100 (13 bits)
Octal 0o17644
Hexadecimal 0x1FA4

Divisor Catalog (45)

1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1,350 1,620 2,025 2,700 4,050 8,100

Collatz Trajectory (158 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,100 4,050 2,025 6,076 3,038 1,519 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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